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40246474752 = 2113311127521
BaseRepresentation
bin100101011110111000…
…000111100000000000
310211212211211202022000
4211132320013200000
51124411044143002
630253341344000
72623226251041
oct453670074000
9124784752260
1040246474752
11160830a4190
127972568000
133a4515c503
141d3b20a8c8
1510a847161c
hex95ee07800

40246474752 has 384 divisors, whose sum is σ = 131333529600. Its totient is φ = 12076646400.

The previous prime is 40246474729. The next prime is 40246474777. The reversal of 40246474752 is 25747464204.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 40246474698 and 40246474707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77248252 + ... + 77248772.

It is an arithmetic number, because the mean of its divisors is an integer number (342014400).

Almost surely, 240246474752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40246474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65666764800).

40246474752 is an abundant number, since it is smaller than the sum of its proper divisors (91087054848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40246474752 is a wasteful number, since it uses less digits than its factorization.

40246474752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 40246474752 in words is "forty billion, two hundred forty-six million, four hundred seventy-four thousand, seven hundred fifty-two".